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Finding the Third Proportional to 211,576,616 and 326,939,524

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Solution

The third proportional to 211,576,616 and 326,939,524 is: 505,204,470.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,576,616 : 326,939,524 = 326,939,524 : x
  2. Step 2: Convert to fraction form
    211,576,616/326,939,524 = 326,939,524/x
  3. Step 3: Cross multiply
    211,576,616x = 326,939,524 × 326,939,524
  4. Step 4: Simplify right side
    211,576,616x = 106,889,452,353,346,576
  5. Step 5: Solve for x
    x = 106,889,452,353,346,576/211,576,616
  6. Step 6: Final answer
    x = 505,204,470.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.